Solve for z
z = \frac{13}{9} = 1\frac{4}{9} \approx 1.444444444
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7\left(4z-3\right)=5\left(2z+1\right)
Variable z cannot be equal to -\frac{1}{2} since division by zero is not defined. Multiply both sides of the equation by 7\left(2z+1\right), the least common multiple of 2z+1,7.
28z-21=5\left(2z+1\right)
Use the distributive property to multiply 7 by 4z-3.
28z-21=10z+5
Use the distributive property to multiply 5 by 2z+1.
28z-21-10z=5
Subtract 10z from both sides.
18z-21=5
Combine 28z and -10z to get 18z.
18z=5+21
Add 21 to both sides.
18z=26
Add 5 and 21 to get 26.
z=\frac{26}{18}
Divide both sides by 18.
z=\frac{13}{9}
Reduce the fraction \frac{26}{18} to lowest terms by extracting and canceling out 2.
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